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गणितामृतलहरी: Ramakrsnadaivajaaviracita Ganitamrtalahari (Lilavativyakhya)

by: Dr. Ramakalyani Venkatraman

The Gaṇitāmr̥talaharī of Rāmakr̥ṣṇa Daivajña, a seventeenth-century scholar, is a commentary on the Līlāvatī of Bhāskarācārya II, which is a splendid compilation of concepts, formulae and examples in arithmetic, geometry and algebra of the twelfth century ce. The present edition, which is critically edited with an Introduction, is based on the collation of eight manuscripts collected from different locations.

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ISBN: 9789380829814
Year Of Publication: 2021
Edition: Ist
Pages : 185
Bibliographic Details : Bibliography; Glossary
Language : Sanskrit
Binding : Hardcover
Publisher: D.K. Printworld Pvt. Ltd.
Foreword By : Prof. Pratapanand Jha
Size: 22 cm.
Weight: 550

Overview

The experiences and knowledge from our past are recorded in manuscripts which have been handed down to us over several thousand years. The Government of India, through the Department of Culture, took note of the importance of this vast tangible heritage and, in order to preserve and conserve as well as to make access to this wealth easy, established the National Mission for Manuscripts (NMM). In order to disseminate the knowledge content of manuscripts, the Mission has taken up several programmes such as lectures, seminars and workshops. The Mission has published the proceedings of the above-said programmes under the following series: “Samrakshika” (on conservation), “Tattvabodha” (comprising lectures based on manuscripts delivered by eminent scholars), “Samiksika” (research-oriented papers presented in the seminars), “Kritibodha” (transcribed and edited texts prepared at advanced level manuscriptology workshops conducted by NMM) and “Prakashika” (publication of rare, unpublished manuscripts).

Contents

 

Contents
Foreword v
Introduction 1
मङ्गलाचरणम् 1
१. संख्यासंबन्धिकलनादिकर्म परिभाषा (Units) 2
२. परिकर्माष्टकम् (Logistics) 7
२.१ संख्यास्थानम् (Place Value of Digits) 7
२.२ अंकयोगः वियोगः च (Addition and Subtraction) 8
२.३ गुणनम् (Multiplication) 11
२.४ भागहारः (Division) 14
२.५ वर्गकरणम्् (Squaring) 15
२.६ वर्गमूलकरणम् (Finding Square Root) 17
२.७ घनीकरणम् (Cubing) 19
२.८ घनमूलम् (Finding Cube Root) 21
३. भिन्नपरिकर्माष्टकम् (Logistics of Fractions) 25
४. शून्यपरिकर्म (Logistics of Zero) 33
५. प्रकीर्णकानि (Miscellaneous Units) 35
५.१ व्यस्तविधिः (Inverse Operations) 35
५.२ इष्टकर्म (Operations with Assumed Numbers) 36
५.३ संक्रमणम् (Operations with Simultaneous Equations) 40
५.४ वर्गकर्म (Operations with Squares of Quantities) 41
५.५ गुणकर्म (Operations with Multipliers of Squares) 44
५.६ त्रैराशिकम् (Rule of Three, etc.) 47
५.७ भाण्डप्रतिभांडकम् (Barter of Commodities) 54
६. मिश्रव्यवहारः (Operations on Mixed Quantities) 57
६.१ कला (मूलधनवृद्धिरानयनम्) (Capital and Interest) 57
६.२ वापीपरिपूर्त्तिकालः (Time of Filling of Tanks) 61
६.३ क्रयविक्रयः (Sale and Purchase) 61
६.४ सुवर्णगणितम् (Calculations Regarding Gold) 65
६.५ अंकपाशविषयः (Calculations Related to Combination of 68
Digits)
७. श्रेढीव्यवहारः (Operations on Series) 73
८. क्षेत्रव्यवहारः (Operations on Plane Figures) 83
८.१ त्रिभुजक्षेत्रम् (Triangles) 83
८.२ चतुर्भुजक्षेत्रम् (Quadrilaterals) 96
८.३ वृत्तक्षेत्रम् (Circles) 114
९. खातव्यवहारः (Excavations and Pits) 123
१0. चितिव्यवहारः (Piles of Bricks) 127
११. क्रकचव्यवहारः (Sawing of Timber) 129
१२. राशिव्यवहारः (Heaps of Grains) 131
१३. छायाव्यवहारः (Shadow and Gnomon) 135
१४. कुट्टकव्यवहारः (Operations on First Degree Equations) 141
१५. अंकपाशः (Combination and Permutation of Digits) 153
१६. ग्रन्थोपसंहारः (Conclusion) 159
Appendix I: Bibliography 161
Appendix II: Glossary of Technical Terms 169
Appendix III: श्लाेकानुक्रमणिका 173
Appendix IV: शब्दानुक्रमणिका 179

Meet the Author
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Dr.V.Ramakalyani holds a degree in mathematics from Madras University, M.A. in Sanskrit and M.Ed. from Mysore University and Ph.D. from Madras University. She is a Rank holder and Gold medalist in Mathematics and Sanskrit in all the University examinations. She is engaged in the research on Ancient Indian Mathematics since 2011. Earlier she had been teaching Mathematics and Sanskrit. At present she is working as a Research Project Associate in The Kuppuswami Sastri Research Institute and in Prof. K.V. Sarma Research Foundation for Mathematics and Astronomy, Chennai. She is doing research projects for National Mission for Manuscripts and also for Sanskrit Promotion Foundation, New Delhi. She has presented papers in many National and International seminars, including one at the World Sanskrit Conference, 2016 at Bangkok. She has served as a Resource Person in the workshops on Ancient Indian Mathematics. She has published papers in reputed journals and her three books are in the process of publication. She has been delivering lectures on Ancient Indian Mathematics in the colleges and schools. She is conferred with the title “Samskrita Ratna” by Bharatiya Vidya Bhavan and DKSKSI trust, Chennai in 2019.
Books of Dr. Ramakalyani Venkatraman

“गणितामृतलहरी: Ramakrsnadaivajaaviracita Ganitamrtalahari (Lilavativyakhya)”

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